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Finding the Fourth Proportional to 2,666.95, 3,680.42 and 1,487.88

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Solution

The fourth proportional to 2,666.95, 3,680.42 and 1,487.88 is: 2,053.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,666.95 : 3,680.42 = 1,487.88 : x
  2. Step 2: Convert to fraction form
    2,666.95/3,680.42 = 1,487.88/x
  3. Step 3: Cross multiply
    2,666.95x = 3,680.42 × 1,487.88
  4. Step 4: Simplify right side
    2,666.95x = 5,476,015.87
  5. Step 5: Solve for x
    x = 5,476,015.87/2,666.95
  6. Step 6: Final answer
    x = 2,053.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.